100143072 has 72 divisors (see below), whose sum is σ = 299786760. Its totient is φ = 31622400.

The previous prime is 100143059. The next prime is 100143097. The reversal of 100143072 is 270341001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3679 + ... + 14622.

It is an arithmetic number, because the mean of its divisors is an integer number (4163705).

Almost surely, 2^100143072 is an apocalyptic number.

100143072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100143072 is an abundant number, since it is smaller than the sum of its proper divisors (199643688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100143072 is a wasteful number, since it uses less digits than its factorization.

100143072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100143072 is about 10007.1510431291. The cubic root of 100143072 is about 464.3801383427.

Adding to 100143072 its reverse (270341001), we get a palindrome (370484073).

The spelling of 100143072 in words is "one hundred million, one hundred forty-three thousand, seventy-two".